On an optimal quadrature formula in the sense of Sard

DOI10.1007/s11075-010-9440-7zbMath1225.65033OpenAlexW2069572893WikidataQ112879556 ScholiaQ112879556MaRDI QIDQ634732

Abdullo Rakhmonovich Hayotov, Kholmat Mahkambaevich Shadimetov, Gradimir V. Milovanović

Publication date: 16 August 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9440-7

zbMATH Keywords

numerical examplesequidistant nodesorder of convergenceasymptotic optimalityerror functionaloptimal coefficientsoptimal quadrature formula in the sense of Sard

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (13)

Optimal quadratures in the sense of sard in a Hilbert space ⋮ Optimal Quadrature Formulas and Interpolation Splines Minimizing the Semi-Norm in the Hilbert Space $$K_{2}(P_{2})$$ ⋮ The order of convergence of an optimal quadrature formula with derivative in the space W(2,1)2 ⋮ Построение оптимальной интерполяционной формулы методом Соболева точных для тригонометрических функций ⋮ The discrete analogue of a differential operator and its applications ⋮ OPTIMAL QUADRATURE FORMULAS FOR FOURIER COEFFICIENTS IN <i>W</i>₂^{(<i>m</i>,<i>m</i>-1)} 2 SPACE ⋮ Optimal quadrature formulas of Euler-Maclaurin type ⋮ Construction of optimal quadrature formulas for Fourier coefficients in Sobolev space \(L_{2}^{(m)}(0,1)\) ⋮ Optimal quadrature formulas in the sense of Sard in \(W_2^{(m,m-1)}\) space ⋮ Interpolation splines minimizing a semi-norm ⋮ Construction of optimal quadrature formulas exact for exponentional-trigonometric functions by Sobolev's method ⋮ Оптимальные формулы типа Эйлера-Маклорена для численного интегрирования в пространстве Соболева ⋮ Optimal interpolation formulas with derivative in the space L(m)2(0,1)

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